X2933

TANGENTIAL-ISOGONAL CONJUGATE OF X56

X2933 is the tangential-isogonal conjugate of X56.
< A B C >: Reference Triangle △ABC [ A B ]: Sideline AB (Base c = 1) [ B C ]: Sideline BC (Side a) [ C A ]: Sideline CA (Side b) { 3, 10 }: Central Line L(3, 10) { 45, 198 }: Central Line L(45, 198) { 22, 1603 }: Central Line L(22, 1603) { 100, 1610 }: Central Line L(100, 1610) { 157, 1631 }: Central Line L(157, 1631) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_56 = EXSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.6316, 0.3438) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_10 = SPIEKER CENTER (0.5204, 0.1833) X_45 = -BETH CONJUGATE OF X(1) (0.5418, 0.1981) X_198 = -CEVA CONJUGATE OF X(6) (0.4741, -0.0381) X_22 = EXETER POINT (0.4143, -0.1221) X_1603 = TCC-PERSPECTOR OF X(8) (0.3539, -0.8165) X_100 = ANTICOMPLEMENT OF FEUERBACH POINT (0.1429, 0.4666) X_1610 = TCC-PERSPECTOR OF X(21) (0.4119, -0.3400) X_157 = -OF-TANGENTIAL-TRIANGLE (0.5266, 0.3812) X_1631 = TCC-PERSPECTOR OF X(366) (0.4546, -0.0030) X_2933 = TANGENTIAL-ISOGONAL CONJUGATE OF X(56) (0.3988, -0.3008) A B C X56 X3 X10 X45 X198 X22 X1603 X100 X1610 X157 X1631 X2933 (a, b, c) = (5, 6, 7) | AB = 1

X2933 (TANGENTIAL-ISOGONAL CONJUGATE OF X56) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(f(a,b,c) : f(b,c,a) : f(c,a,b)\), where f(a,b,c) is as described just before X2883
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(-7.275641608749\)
▸ Incident Central Lines5 lines

{3, 10}, {22, 1603}, {45, 198}, {100, 1610}, {157, 1631}

▸ Functional Relations3 relations